{
  "id": "math/0310299",
  "version": "v2",
  "published": "2003-10-20T18:22:42.000Z",
  "updated": "2003-10-21T17:22:35.000Z",
  "title": "On the Cohomology of Moduli of Vector Bundles",
  "authors": [
    "Ajneet Dhillon"
  ],
  "comment": "20 pages, I forgot to upload the bibliography last time",
  "categories": [
    "math.AG"
  ],
  "abstract": "We compute some Hodge and Betti numbers of the moduli space of stable rank $r$ degree $d$ vector bundles on a smooth projective curve. We do not assume $r$ and $d$ are coprime. In the process we equip the cohomology of an arbitrary algebraic stack with a functorial mixed Hodge structure. This Hodge structure is computed in the case of the moduli stack of rank $r$, degree $d$ vector bundles on a curve. Our methods also yield a formula for the Poincare polynomial of the moduli stack that is valid over any ground field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-21T17:22:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20"
    ],
    "keywords": [
      "vector bundles",
      "cohomology",
      "moduli stack",
      "functorial mixed hodge structure",
      "arbitrary algebraic stack"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10299D"
    }
  }
}